Kozub H.O., Kozub Yu.H. Modeling of thermal processes in layered bodies

Details
Parent Category: Geo-Technical Mechanics, 2020
Category: Geo-Technical Mechanics, 2020, № 151

Geoteh. meh. 2020, 151, 234-244

DOI: https://doi.org/10.15407/geotm2020.151.234

Modeling of thermal processes in layered bodies

1Kozub H.O., 1Kozub Yu.H.

1Luhansk Taras Shevchenko National University

UDC 539.3

Language: Ukrainian

Abstract.

The general procedure of research of thermal processes in layered designs taking into account all possible boundary conditions of heat supply is given. A modified finite-element model of heat distribution in a layered solid body is constructed taking into account the anisotropy of the properties of the composite material. Based on the hypothesis of continuity of temperature fields and heat fluxes at the boundary of the structural layers, the solution equations of the finite element method are constructed. A superelement approach is used to reduce the dimension of the thermal conductivity problem of layered structures. For a layer package, the solving equations are constructed using the condensation procedure of a system of equations of the set of finite elements included in the package. The first step is to determine the temperature distribution on the surface of the package of layers. The next step is to determine the temperature in the internal nodes of the package. The proposed approach is universal and has a number of features, among which the following can be distinguished: the order of solving equations for a package is determined only by the number of external nodes and does not depend on the structure of the layer. The thermophysical characteristics of the layers are set in each element of the package in the anisotropy coordinate system and determine the features of the thermal conductivity matrix of the whole package. This approach, in contrast to other methods, allows to take into account the influence of thermophysical characteristics on the distribution of field temperature over the thickness of the package, has a convenient form of representation of solving equations based on ITU in three-dimensional formulation. The application of the proposed technique allows to solve the problems of thermal conductivity for layered anisotropic structures of any shape. This avoids the use of simplified two-dimensional problem statements, which lead to quite significant limitations and errors, in particular those related to the boundary conditions. Based on the proposed approach, solutions of the thermal conductivity problems of layered anisotropic bodies are obtained. The results are satisfactorily consistent with the experimental data and solutions of other authors, which indicates the reliability of the method.

Keywords:

finite element method, thermal conductivity, multilayered structural element, superelement

References:

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About the authors:

Kozub Halyna Oleksandrivna, Candidate of Technical Sciences (Ph.D.), Associate Professor Department of Information Technology and Systems, Luhansk Taras Shevchenko national university, Starobilsk, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Kozub Yurii Hordiiovych, Doctor of Technical Science (D.Sc.), Associate Professor, Head of Department of Physical-Technical Systems and Informatics, Luhansk Taras Shevchenko national university, Starobilsk, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.